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Finding the Fourth Proportional to 394,978.13, 545,073.77 and 213,693.96

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Solution

The fourth proportional to 394,978.13, 545,073.77 and 213,693.96 is: 294,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,978.13 : 545,073.77 = 213,693.96 : x
  2. Step 2: Convert to fraction form
    394,978.13/545,073.77 = 213,693.96/x
  3. Step 3: Cross multiply
    394,978.13x = 545,073.77 × 213,693.96
  4. Step 4: Simplify right side
    394,978.13x = 116,478,971,334.96
  5. Step 5: Solve for x
    x = 116,478,971,334.96/394,978.13
  6. Step 6: Final answer
    x = 294,899.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.